AP Statistics Chapter 5 Quiz

Questions and Answers

What is the probability that you will be ticketed for illegal parking on campus after ten days of not being ticketed?

1/3 (correct)

1/2

0.5

1/4

If Event A has a probability of 0.2 and Event B has a probability of 0.8, what is P(A or B) if A and B are disjoint?

1.0

What is P(A or B) if P(A) = 0.24 and P(B) = 0.52 and A and B are independent?

0.6352

What is the probability that at least one of 10 people is a universal donor if only 7.2% of the population has O-negative blood?

0.526 Signup and view all the answers

What is the probability that a randomly chosen death in the US was due to diabetes based on racial statistics?

0.030 Signup and view all the answers

What is the probability that two socks pulled from a drawer of 6 blue and 10 grey socks match?

0.500 Signup and view all the answers

If P(A ∪ B) = S, P(A and Bc) = 0.25, and P(Ac) = 0.35, what is P(B)?

0.75 Signup and view all the answers

What is the probability that you win the next two tennis matches if you have a probability of 0.6 of winning each match?

0.36 Signup and view all the answers

The probability of any outcome of a random phenomenon is defined as:

The proportion of an infinite number of repetitions on which the outcome occurs Signup and view all the answers

Study Notes

Probability of Ticketing for Illegal Parking

Probability of getting ticketed for illegal parking on campus is approximately 1/3.
If you illegally parked for 9 consecutive days without being ticketed, the probability of being caught on the 10th day remains 1/3 due to independent outcomes.

Disjoint Events

Event A has a probability of 0.2; Event B has a probability of 0.8.
If A and B are disjoint, then the probability of either A or B occurring is P(A or B) = 1.0.

Independent Events

For independent events A and B where P(A) = 0.24 and P(B) = 0.52, the probability of A or B occurring is 0.6352.
Formula: P(A or B) = P(A) + P(B) - P(A and B), where P(A and B) = P(A) × P(B).

Blood Donor Probability

Only 7.2% of the American population has O-negative blood, making it a universal donor type.
For 10 randomly chosen people, the probability that at least one is a universal donor is approximately 0.526.

Among deaths in a recent year: 86% were white, 12% black, and 2% Asian.
Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians.
Overall probability that a randomly chosen death was due to diabetes is about 0.030.

Sock Matching Probability

A drawer contains 6 blue and 10 grey socks.
The probability of drawing two matching socks without replacement is 0.500.

Total Probability and Sample Space

If A ∪ B = S (the sample space), and P(A and Bc) = 0.25, and P(Ac) = 0.35, the probability of event B occurring is calculated as 0.75.

Winning Tennis Matches

Probability of winning each tennis match is 0.6.
The probability of winning the next two matches consecutively is 0.36.

Interpretation of Probability

The probability of any outcome in a random phenomenon reflects the proportion of an infinite number of repetitions during which the outcome occurs, which is answer (d).

Description

Test your understanding of Chapter 5 in AP Statistics with these multiple choice questions. This quiz covers key concepts such as probability and independent events, helping you to reinforce your learning effectively.